Directions: Read and analyze the given problems below. Write your solutions and final answer on a separate sheet of paper. 1. ILAW Manufacturing company produces bulbs that last a mean of 900 hours with a standard deviation of 110 hours. What is the probability that the mean lifetime of a random sample of 15 of these bulbs is less than 850 hours? 2. A school principal claims that grade 11 students have a mean grade of 86 with a standard deviation of 4. Suppose that the distribution is approximately normal. What is the probability that a randomly selected grade will be greater than 82 but less than 90?

Q: 3. The number of infected people in a population grows by 8% per day and those who become infected…

A: You can solve this problem with python program and usual methods.I will provide you both ways.

Q: 2. Zenzizenzizenzic is an obsolete word used in mathematics, before powers were written as…

A: Chain rule: For 2.ddxfghax+b=f'ghax+b·g'hax+b·h'ax+b·ax+b'---------------------------------For…

Q: For each of the following pairs of integers, a and b, use the Euclidean Algorithm to find d = gcd…

A: Solution:

Q: A bag contains 25 marbles: 4 are red, 9 are green, and 12 are blue. You reach in and pull out a…

A: Given,no.of red marbles=4no.of green marbles=9no.of blue marbles=12

Q: Please answer number six.

A: 6)From the given information, population standard deviation value is 4.35 years and sample mean age…

Q: 3. y" – xy' – Y = 0, xo = 1 -

A:

Q: 3. Let f(x) = sin(-x²). Find a formula for F such that F'(x) = f(x). Hint: See problem 5 in the…

A:

Q: A somewhat outdated study indicates that the mean number of hours worked per week by software…

A:

Q: utcome is 00, 0, or 1, there is a probability of 38 of making a net profit of $60 and a 38…

A: Given playing roulette at a casino, a gambler is trying to decide whether to bet $20 on the number…

Q: 3. Suppose your school is in the midst of a flu epidemic. The probability that a randomly-selected…

A: Let event A denotes that the student has flue Event B denotes that the student is having fever P(A)…

Q: Please answer 10A and 10B.

A:

Q: 2. Consider the vector-valued function 12t3 – 72t2 + 96t 15t – 60 6t – 24, if t > 0, t + 4, Ř(t = 4…

A:

Q: 7.1 + 늘mi -4 + 19i 8. 2 + 5i

A: The given problem is to represent the given complex expression in to polar form and also sketch the…

Q: 8 12 x 3. (a) Estimate the area under the graph of f(x) = cos x from x = 0 to x = π/2 using four…

A:

Q: 36 – x2 – y? and S2 be t Let Si be the hemisphere with Cartesian equation z = 6 – upper nappe of the…

A:

Q: 2. If f(x) is continuous in a closed interval I, then f(x) has at least one absolute maximum and one…

A:

Q: 3. Statistics Grades: In a large section of statistics class, the points for the final exam are…

A: Given Grades are assigned in such a way that the top​ 10% receive​ A's the next​ 20% received​ B's…

Q: Answer question number 8,9 and 12.

A:

Q: Using the traces obtained in IV.1., provide a hand-drawn sketch of S3. Label all important points…

A: The equation of the surface given is as follows: 4x2-9y2=9z2+4 (3) The graph of the traces obtained…

Q: Find and equation of the parabola described 1. Focus (2,0): directrix r -2 %3D

A: 1) Given the focus is 2,0, directrix x=-2. Let x0,y0 be any point on the parabola. Find the distance…

Q: 2. Draw a Venn diagram for each event described in Problem 1 above.

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: Answer part 1 and 2.

A: The objective of the question is to find the measure of angle 2 in a rhombus and the measure of…

Q: 12. A D (5x–8) K4x + 8) 12 E В с дут ухаа 13. AC = x + 7, DB = 6x-8 A D E В с

A: (12)  angle A is form right angle there for  ∠a=90°(4x+8)°+(5x-8)°=90°

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.